User manual HP 39G+ GRAPHING CALCULATOR

[. . . ] hp 39g+ graphing calculator user's guide H Edition 2 Part Number F2224-90001 Notice REGISTER YOUR PRODUCT AT: www. register. hp. com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED "AS IS" AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN. © Copyright 1994-1995, 1999-2000, 2003 Hewlett-Packard Development Company, L. P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Printing History Edition 2 December 2003 Contents Preface Manual conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] Inputs and outputs depend on the current angle format. Output will be complex for values outside the normal COS domain of ­ 1 x 1 . ACOS(value) Example ACOS(1) returns 0 (Degrees mode). 11-4 Using mathematical functions ATAN Arc tangent: tan­1x. Output range is from ­90° to 90°, 2/2 to /2, or ­100 to 100 grads. Inputs and outputs depend on the current angle format. ATAN(value) Example ATAN(1) returns 45 (Degrees mode). value2 Example 182 returns 324 Square root. ­value Example -(1, 2) returns (-1, -2) Power (x raised to y). value^power Example 2^8 returns 256 ABS Absolute value. For a complex number, this is ABS(value) ABS((x, y)) Example ABS(­1) returns 1 ABS((1, 2)) returns 2. 2360679775 x +y . 2 2 Using mathematical functions 11-5 n Takes the nth root of x. root NTHROOT value Example 3 NTHROOT 8 returns 2 Calculus functions The symbols for differentiation and integration are available directly form the keyboard-- and S respectively--as well as from the MATH menu. Differentiates expression with respect to the variable of differentiation. From the command line, use a formal name (S1, etc. ) for a non-numeric result. See "Finding derivatives" on page 11-21. variable(expression) Example s1(s12+3*s1) returns 2*s1+3 Integrates expression from lower to upper limits with respect to the variable of integration. To find the definite integral, both limits must have numeric values (that is, be numbers or real variables). To find the indefinite integral, one of the limits must be a formal variable (s1, etc). (lower, upper, expression, variable) See "Using formal variables" on page 11-20 for further details. Example (0, s1, 2*X+3, X) finds the indefinite result 3*s1+2*(s1^2/2) See "To find the indefinite integral using formal variables" on page 11-23 for more information on finding indefinite integrals. 11-6 Using mathematical functions TAYLOR Calculates the nth order Taylor polynomial of expression at the point where the given variable = 0. TAYLOR (expression, variable, n) Example TAYLOR(1 + sin(s1)2, s1, 5)with Radians angle measure and Fraction number format (set in MODES) returns 1+s1^2-1/3*s1^4. Complex number functions These functions are for complex numbers only. You can also use complex numbers with all trigonometric and hyperbolic functions, and with some real-number and keyboard functions. Enter complex numbers in the form (x, y), where x is the real part and y is the imaginary part. ARG Argument. Finds the angle defined by a complex number. Inputs and outputs use the current angle format set in Modes. ARG((x, y)) Example ARG((3, 3)) returns 45 (Degrees mode) CONJ Complex conjugate. [. . . ] This warranty gives you specific legal rights and you might also have other rights that vary from country to country, state to state, or province to province. TO THE EXTENT ALLOWED BY LOCAL LAW, THE REMEDIES IN THIS WARRANTY STATEMENT ARE YOUR SOLE AND EXCLUSIVE REMEDIES. EXCEPT AS INDICATED ABOVE, IN NO EVENT WILL HP OR ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT, SPECIAL, INCIDENTAL, CONSEQUENTIAL (INCLUDING LOST PROFIT OR DATA), OR OTHER DAMAGE, WHETHER BASED IN CONTRACT, TORT, OR OTHERWISE. Some countries, States or provinces do not allow the exclusion or limitation of incidental or consequential damages, so the above limitation or exclusion may not apply to you. [. . . ]